Finding the Fourth Proportional to 1,002.69, 1,386.05 and 769.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.69 : 1,386.05 = 769.41 : x
2. Step 2: Convert to fraction form
   1,002.69/1,386.05 = 769.41/x
3. Step 3: Cross multiply
   1,002.69x = 1,386.05 × 769.41
4. Step 4: Simplify right side
   1,002.69x = 1,066,436.88
5. Step 5: Solve for x
   x = 1,066,436.88/1,002.69
6. Step 6: Final answer
   x = 1,063.58